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Finding the Fourth Proportional to 10,029.40, 15,053.70 and 8,570.20

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Solution

The fourth proportional to 10,029.40, 15,053.70 and 8,570.20 is: 12,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.40 : 15,053.70 = 8,570.20 : x
  2. Step 2: Convert to fraction form
    10,029.40/15,053.70 = 8,570.20/x
  3. Step 3: Cross multiply
    10,029.40x = 15,053.70 × 8,570.20
  4. Step 4: Simplify right side
    10,029.40x = 129,013,219.74
  5. Step 5: Solve for x
    x = 129,013,219.74/10,029.40
  6. Step 6: Final answer
    x = 12,863.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.